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Preview: 817 Math (2007)

817 Math (2007)

Updated: 2014-10-06T20:24:24.440-05:00


Kevin's Algebra Scribe


Page 43, Algebra

1.Ms. Enigma said, “Five less let x = Ms. Enigma’s age.
than one third of my age is
14 is my age” How old is Ms.

The first thing that we do is make a sentence answer…..

Ms. Enigma is ______________ years old.
1/3x - 5= 14
To get ride of our integer we have 5to do some
Opposite operations.

1/3x – 5 = 14
1/3x +5 = 14

Now what we do to one side we do to the other.
14 + 5 = 19
x/3 is the same as saying 1/3
x/3 = 3(19)
3 times 19 = x = 57 Ms. Enigma is 57 years old

Our last step is to substitute to check

1/3x – 5 = 14
57/3 – 5 = 14
14 = 14

2.Suppose you have 5o dollars let x = the number of hours
And earn 8 dollars per hour. You must work
How many hours must you
Work until you have 170 dollars?
Now we make a one sentence answer……

You must work _______________ hours.
Hour 1= x _____________ = x = 15

Dollars per hour = 8x____ = 8(15) =
TOTAL= 8x + 50 170 dollars
- 50 ___-50___________
X= 15 8x = x 120
_____ _____ = 15 h
8 8
The last step is to substitute to check

8x + 50 = 170 dollars
8(15) + 50 = 170 dollars 170 = 170


Kathleen's Scribe


Questions 6-10



Israelie's Scribe


Questions 1-5



Chris' Scribe








1.) Isolate the VARIABLE
2.)Cancel the constant using its opposite (0)/0 pair
4.)Substitute to checkmark



Israelie's Scribe


Equation Solving --- Multiplying and Dividing ---

Steps to success...

1. Isolate the variable
2. Cancel the variable
Using its opposite x or /
to get 1 variable

2a.) - negative variables must be cancelled by - variables to create a positive variable
3. Balance

4. Substitute to check

(image) Dividing:(image)

Jordan's Pattern Investigation 2 Scribe


Car Repairs2. Make a Table to Show the results of Your Investigation3. Describe The Patterns Found In Each RowFigure # - Start With 1, Increase by 1# Of Repairs - Start With 1, Increase by 2B. Describe Why The Patterns Increase The Way That They Do.With every figure # your car needs two more repairs.4. Describe The Relationship Between The Two ColumnsMultiply figure # by 2 then subtract 1.C. Write An Algebraic Equation To Show This RelationshipLet X represent Figure # = 2X-15. Predict What The 20th, 35th and 99th digram will look like20th - 2X-1 2x20-1 40-1 = 3935th - 2X-1 2x35-1 70-1 =6999th - 2X-1 2x99-1 198-1 =1977. Make A Graph For The First 6 Terms And Label The Line According By It's Equation.Harbeck's Training2. Make a Table to Show the results of Your Investigation3. Describe The Patterns Found In Each RowB. Describe Why The Patterns Increase The Way That They Do.4. Describe The Relationship Between The Two ColumnsC. Write An Algebraic Equation To Show This Relationship5. Predict What The 20th, 35th and 99th digram will look like7. Make A Graph For The First 6 Terms And Label The Line According By It's Equation.[...]

Kathleen's Scribe



Today In class we learned what are algetiles and how to us
e them. We also learned the terms, and how to combine like terms together.



A few Examples:

(image) Terms:
-Integers (Constant)

Combining Like Terms:
+1 -2


Erick's Scribe!


In class we were doing some investigations about patterns and relationships between them, and at the end of the investigation, we would have to find an algebraic expression that would work every time for the pattern!Patterns and Relations investigations answer sheet!Stuck In My Teeth!!!(**Note, we had the information about the first few figures but i will draw out all five.)First We had to:1. Draw out the next two patterns in the space below.See ain't that pretty? Now for the next step!2. Make a table to show the results of your investigation.This table will look very similar to a t-chart but it is turned around.Now that the B-E-A utiful chart is done, we now go on to the next step!Isn't it weird that "x" is on the bottom?3. Describe the patterns found in each row. y= toothpicks Start with 3 Increase by 2 for each new figurex=Figure # Start with 1 Increase by 1b. Describe why the patterns increase the way that they do.For every new figure , you get two new toothpicks!that was easy right? Onto the next step:4.Describe the relationship between the two columns.Both of the Columns Increase"x"=Figure # - Increase by one"y"=Toothpicks - Increase by twoI know its a weird pattern but its the first one i saw and its the simplest!Onto the next Step:c. Write an algebraic equation to show this relationship.(WARNING, an expression is the one without the answer. An EQUATION is the one with the answer. Remember that!) 2x + 1 = y Let "x" equal - Figure numberLet "y" equal - ToothpicksMAN that was easy! did you get it? i thought so!5. Predict what the 20th, 35th and 99th diagram will look like. 2x+1=y20th- 2(20)+1=41 2x+1=y35th- 2(35)+1 = 71 2x+1=y99th- 2(99)+1= 1997.Make a graph for the first 6 terms and label the line according by its equationWas that a little tricky? Not even!Thanks for reading, please comment on any mistakes i have made or maybe you can compliment on my fabulous work! [...]

Charmaine's Scribe


My Scribe:Algebra Test #1 Here are the first set of questions Mr.Harbeck gave us1. 3x+8 - 3 times plus eight2. 7x+5x - 7 groups of a number plus 5 groups of a number3. 5(x+8) - five times the sum of a number and eight4. 8-3x - 8 decreased 3 times a number5. 9 centimeters less than three fourths of length X - 3/4x96. seven decreased by four times a number - 7-4x7. 9 less than 3 times a number - 3x-98. four more then 8 times a number - 8x4+On the second part of our test we had to do a graph, tee-chartand find and algebraic equation for our problem.Here was our question:Here Is My Tee-Chart Here Is My Graph Now I am to show you how I ended up with these anwersusing my algebraic equationLet x = Figure #Let y = Number of TilesThe Algebraic Equation is.....3x+1=yx=figure # -start with one-increase by oney=# of tiles-start with four-add three each timeThat is my Algebra Test #1 ScribeThats practically what we did on the test.[...]

Josephine's scribe post


How to find...
- Circumference of a circle
- Area of a circle
- Surface area of a cylinder
- Volume of a cylinder
Circumference of a circle - pi d (pi *d) OR pi 2 r (pi * 2 * r)
Area of a circle - pi r² (pi * r²)
Surface area of a cylinder -

area of circle = (pi * r²) * 2
area of square = H * C
surface area of a cylinder
Circumference = pi r 2 (pi * 2 * r) (also needed to find surface area of a cylinder)
Volume of a cylinder - area of the base * height

Voicethread of Yellow Paper:
coming soon...:)

Rectangular Prism Test Scribe Q.1


find the surface area and volume of...

VOL= area of base x height

BASE: lxw=




16 x 4 = 64 cm3

SA= 2(hxl)+2(wxh)+2(lxw)=

SA= 2(16)+2(16)+2(16)=

SA= 32+32+32=


Karen's B.O.B


For Finding the Surface Area you just follow the fomula! 2(HxL) + 2(HxW) + 2(LxW)Fomula:Net of a Rectangular Prism:Once you know the formula you can start filling in what you know.Finding the Volume of a Rectangular is too. You just have to follow the fomula.Formula:Now we can answer the fomula! By filling in the information we know![...]

gails bob


BOB - blogging on blog




Israelie's BOB


Surface Area of a Rectangular Prism


---H=2 W=2 L=4---




= 8+8+16

= 32 cm²

Volume of a Rectangular Prism


---L=5 H=2 W=2---

V= LxHxW
= 5cm x 2cm x 2cm
= 20cm³


area of the base x height
=10cm x 2cm
= 20cm³


Kathleens B.O.B


Surface area of a rectangle prism:


A way to solve this problem:

L= 12

W= 4

surface area(sa) = 2(hxl) + 2(hxw) + 2(lxw)
sa= 2(12x12) + 2(12x4) + 2(12x4)
sa= 2(144) + 2(48) + 2(48)
sa= 288 + 96 + 96
sa= 480 cm sqaured


Volume of a rectangular prism:



Erick's BOB


First Up Surface Area.!Now the Area of a rectangular Prism is the area of all of the sides of the shape added up.This is the net. This gives you a very good visual aid in helping you find the surface area of the shape because it shows all of the sides and squares.Also it just looks neater.How to find the Surface Area.Ok. so, shown on this net we have each side measuring 5cm. Now i did some work that is not shown here, but all i did was get the area of the box by using the formula, LxW. So 5x5 would give me the area of one square.Now all we need to do is use a simple formula to find the surface Area.Here's the formula for that!Surface Area= 2(hxl)+2(hxw)+2(lxw)Surface Area=2(5x5)+2(5x5)+2(5x5)Surface Area=2(25)+2(25)+2(25)Surface Area= 50 + 50 + 50Surface Area = 150cm2Now its Time for the Volume!!Now Volume is really simple! All you have to do is Get the measurements of all three sides and multiply them using this formula. Volume of a Rectangular Prism LxWxH5cm2x5cm2x5cm2=125cm3Please note the cubed!Another way is Area of base X Height(25cm2)5cm2=125cm2[...]

Josephine's B.O.B


(image) Surface area of a rectangular prism:

SA = 2(H * L) + 2(H * W) + 2(L * W)
= 2(2 * 6) + 2(2 * 2) + 2(6 * 2)
= 2 * 12 + 2 * 4 + 2 * 12
= 24 + 8 + 24
= 56cm²

click for bigger picture

(image) Volume of a rectangular prism:

V = (L* W) * H
= (4 * 2) * 2
= 8 * 2 = 16cm³
= (area of the base) * H
= 8 * 2

= 16cm³

click for bigger picture

Exequelle's BOB


Surface Area of A Rectangular Prism
(image) The surface area is the area of all the sides added up, how much area the object has.
A net is how an object would look if it was flattened. It would look like this. From a rectangular prism into its net.

Now to answer the question you have to use the formula:
2(W*H)+ 2(H*L) + 2(L*W)= The surface Area.
W= 8cm2
L = 4cm2
H = 1cm2

Basically you just fill in the all of the blanks.

2(W*H)+ 2(H*L) + 2(L*W) =
2(8cm2 x 1cm2) + 2(1cm2 x 4cm2) + 2(4cm2 x 8cm2) =
2(8cm2) + 2(4cm2) + 2 (32cm2) =
16cm2 + 8cm2 + 64cm2 =
Surface Area = 88cm2
Another way is to add up all of the areas of each rectangle in the net:
32cm2 + 32cm2 + 8cm2 + 8 cm2 + 4cm2 + 4cm2 =88cm2

Volume of a Rectangular Prism
Volume is how much space the object takes up.
The formula to find the volume of a rectangular prism is:
(W x L) x H = Volume
W = 8
L = 4
H = 1
Again you plug in the numbers.
(W x L) x H = Volume
(8 x 4) x 1cm =
(32) x 1 =
Volume = 32cm3
Another way to do this is B x H. If you didn't know the base is Width x Length.
Base = 32 Height = 1 32 x 1 = 32cm3

alicia's BOB


how to find it...
(image) SA=2(hxl)+2(hxw)+2(lxw)
front sides top
and and
back bottom

how to find it...
volume=area of base x height

Jordan's BOB


The Surface Area Of A Rectangular Prism!Surface area is all of the areas on all of the sides added up on a solid figure such as ( in our case) a rectangular prism.This is called a net. ---------------------> Nets are made out of shapes like this cube. This is how you would change a cube into a net: Heres how to get the surface area of a rectangular prism:We know that there are two 6cm squared, two 2cm squared and two 3cm squared.This is what it looks like: ( don't forget the formula)2(6cm squared) + 2 (6cm squared) + 2 (3cm squared) Now do some math36cm squared + 4cm squared + 9cm squared = 49cm squared.A longer way to do it is like this:(6x6) + (2x2) + (3x3) 36 + 4 + 9 = 49cm squared.Volume Of A Rectangular PrismLets say that we are trying to find the volume of a rectangular prism.L = 6W = 2H =2Here's how you solve it.L x W x H = (6cm squared x 2cm squared) x 2 cm squared = 24 cm squared.Multiple methods to show this areLength x width x height ( height also known as depth)or you could useArea of base x height[...]




SA=40 cm ²


(2*4)*4-32 cm²

Charmaines B.O.B


Rectangular Prism: Volume and Surface Area In my B.O.B we are going to find out thevolume and the surface area of this rectangular prism.Surface AreaHere is my formula for my rectangularprism.2 ( 4 x 2 )+ 2 ( 1 x 2 )+ 2 ( 4 x 1 ) =2 (8 cm2 ) +2 ( 2 cm2 ) + 2 ( 4cm2 ) = 16 cm2 + 4cm2 + 8cm2 = 28 cm2The second way in finding the surface area.2cm 2 + 2cm2 + 4 cm2 + 4 cm2 + 8cm2+ 8 cm 2 = 28 cm2VolumeNow here is the volume for my rectangular prism.( L x W ) x H = area or you can also use....... Area of the base x heightFormula : ( L x W ) x H = areaL = 8 W = 4( L x W ) x H H = 1 ( 8 x 4 ) x 1 =32 x 1 = 32 cm3Or the other way is Area of the base x height = area of a rectangularprism. The area of our base is 32 and 32 x our height would be 32 x 1= 32 cm 3. [...]

Kevin's BOB


In this B.O.B. we are going to find out howto find the volume and the surface area ofa rectangular prism.What we did was draw a net of our shape out on gird paper and each cube represents 1 cm and then we labled it. Make sure the formula is writen down. The formula is .... 2 ( 4 x 2 )+ 2 ( 1 x 2 )+ 2 ( 4 x 1 ) =2 (8 cm2 ) +2 ( 2 cm2 ) + 2 ( 4cm2 ) = 16 cm2 + 4cm2 + 8cm2 = 28 cm2A secccond way is to just add the lengths together like this... 2cm 2 + 2cm2 + 4 cm2 + 4 cm2 + 8cm2 + 8 cm 2 = 28 cm2To find the area of a rectangular prism you can use 2 diffrent stratigies or formulas. You can use...( L x W ) x H = area or you can also use....... Area of the base x height. in this B.O.B we are going to solve it using both. First we drew a net of the rectangular prism.Fromula : ( L x W ) x H = area L = 8 W = 4 ( L x W ) x H H = 1 ( 8 x 4 ) x 1 =32 x 1 = 32 cm 3 The seccond way to solve this equation is to use the formula >>>>>> Area of the base x height = area of a rectangular prism.The area of our base is 32 and 32 x our height would be 32 x 1= 32 cm 3. Since we are dealing with a 3 dimensional shape we have to make sure we use cubed witch is 3 instead of 2. [...]

Judy's BOB


THE SURFACE AREA OF A RECTANGULAR PRISM1.what is surface area?surface area is the total area of the outside of a 3-D shape2. how do you find the surface area?first take your shape, and draw what itwould look like if it were opened and laid out:Then measure the sides,and find the area of each separate square (or rectangle).... suppose the sides are all 2cm long.The formula to find the area of a square isLength x Width so the area of each square would be 4cm²Finally, use the formula to find the surface can either use:(area = a)a+a+a+a+a+a= surface area4cm²+4cm²+4cm²+4cm²+4cm²+4cm²= 24cm²OR2 (HxL)+ 2(HxW)+ 2(LxW)2(2x2)+ 2(2x2)+ 2(2x2)2(4)+2(4)+2(4)=8cm+8cm+8cm= 24cm²------------------------------------------------------------------------------------------------THE VOLUME OF A RECTANGULAR PRISM1. what is volume?the amount of space an object takes up. in this case, a rectangular prism2. How do you find the volume?take a rectangular prism, and measureit's length, width, and depth (also called height)Then use the formula to find out the volume. You can use:length x width x depth3cm x 5cm x 2 cm=30cm³ORArea of base x depth(3cm x 5cm) x 2cm15cm² x 2cm= 30cm³ [...]

Erick's Scribe


In class we measured books with 1cm cubic centimeter squares, and we were trying to find the surface area and the volume of the book.Here are a few examples..A Hey B.C Book.Example 1...**Note Before Reading**If you do not understand Surface Area, Please look at Iseralie's or Kevin's Scribe below mine!!Here is the Net of the B.c Book..Now we have to find the Surface Area.SA= 2(hxl)+2(hxw)+2(LxW)Sa=2 (18x1)+2(18x10)+2(1x10)SA=2 (18)+2(180)+2(10)SA= 36 + 360 + 20 SA= 416cm2Here is the Volume..Volume of a Rectangular PrismLxWxH---------*THIS IS THE FORMULA!!!1cm2 x 10cm2 x 18cm2 = 180cm3 Or.... Area of Base X Height*Area of the base multiplied by the height is another way to get the volume of a rectangular prism or a cube!(10cm2) 18cm2 = 180 cm3Example 2Here is the Net of A Dictionary...*Note.. Its Recommended that you click on the Pic to See the Picture and the Math Work Better.Here is the Volume of the DictionaryVolume of a Rectangular Prism LxWxH ---------*THIS IS THE FORMULA!!!5cm2 x 11cm2 x 19cm2 = 1045cm3 Or.... Area of Base X Height*Area of the base multiplied by the height is another way to get the volume of a rectangular prism or a cube!(55cm2)19cm2 = 1045cm3If There are any mistakes, please comment.Or if you have any compliments please comment.Thanks for viewing my Scribe![...]